An efficient method for the calculation of eigenvector design sensitivities

This paper describes a general approach for incorporating the eigenvector normalization condition in the computation of eigenvectordesign sensitivities. Design sensitivities for the eigenproblem has received much attention over the past four decades, however, with little exception, previous work has...

Full description

Saved in:
Bibliographic Details
Main Authors: M. K., Shibinlal, Abu, Aminudin
Format: Article
Published: Teerthanker Mahaveer University, India 2012
Subjects:
Online Access:http://eprints.utm.my/id/eprint/32665/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:69790
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Universiti Teknologi Malaysia
id my.utm.32665
record_format eprints
spelling my.utm.326652019-03-25T08:18:38Z http://eprints.utm.my/id/eprint/32665/ An efficient method for the calculation of eigenvector design sensitivities M. K., Shibinlal Abu, Aminudin TJ Mechanical engineering and machinery This paper describes a general approach for incorporating the eigenvector normalization condition in the computation of eigenvectordesign sensitivities. Design sensitivities for the eigenproblem has received much attention over the past four decades, however, with little exception, previous work has focused primarily on mass normalized eigenvectors alone. The approach presented here considers conservative symmetric systems with distinct eigenvalues and addresses first-order eigenvalue and eigenvector design sensitivities. A rigorous treatment ofthe eigenvector normalization condition is provided by using its design derivative to eliminate the singularity issue in the eigenvector design sensitivity system ofequations. The effect of re-scaling eigenvectors is also considered, as is the related computational effort. Examples illustrate the computational procedure. Teerthanker Mahaveer University, India 2012 Article PeerReviewed M. K., Shibinlal and Abu, Aminudin (2012) An efficient method for the calculation of eigenvector design sensitivities. S & T Review : An International Journal of Science and Technology, 1 (1). pp. 82-88. ISSN 2231-5160 http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:69790
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic TJ Mechanical engineering and machinery
spellingShingle TJ Mechanical engineering and machinery
M. K., Shibinlal
Abu, Aminudin
An efficient method for the calculation of eigenvector design sensitivities
description This paper describes a general approach for incorporating the eigenvector normalization condition in the computation of eigenvectordesign sensitivities. Design sensitivities for the eigenproblem has received much attention over the past four decades, however, with little exception, previous work has focused primarily on mass normalized eigenvectors alone. The approach presented here considers conservative symmetric systems with distinct eigenvalues and addresses first-order eigenvalue and eigenvector design sensitivities. A rigorous treatment ofthe eigenvector normalization condition is provided by using its design derivative to eliminate the singularity issue in the eigenvector design sensitivity system ofequations. The effect of re-scaling eigenvectors is also considered, as is the related computational effort. Examples illustrate the computational procedure.
format Article
author M. K., Shibinlal
Abu, Aminudin
author_facet M. K., Shibinlal
Abu, Aminudin
author_sort M. K., Shibinlal
title An efficient method for the calculation of eigenvector design sensitivities
title_short An efficient method for the calculation of eigenvector design sensitivities
title_full An efficient method for the calculation of eigenvector design sensitivities
title_fullStr An efficient method for the calculation of eigenvector design sensitivities
title_full_unstemmed An efficient method for the calculation of eigenvector design sensitivities
title_sort efficient method for the calculation of eigenvector design sensitivities
publisher Teerthanker Mahaveer University, India
publishDate 2012
url http://eprints.utm.my/id/eprint/32665/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:69790
_version_ 1643649107169902592